We motivate, discuss history of, and present a solution to the following problem: describe pairs (G, V) where V is an irreducible representation of the symmetric group Sn of dimension greater than 1 and G is a subgroup of Sn such that the restriction of V to G is irreducible. We do the same with the alternating group An in place of Sn.
The latest results on the problem are joint with Pham Huu Tiep and Lucia Morotti.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
